Volume of Irregular Solids and Displacement Method Quiz

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Questions and Answers

What does volume refer to in the context of measurements?

  • The length of an object
  • The weight of an object
  • The color of an object
  • The amount of space that an object occupies (correct)

How is the volume of a regular solid calculated?

  • Multiplying its length, width, and thickness (correct)
  • Subtracting its thickness from its length
  • Dividing its length by its width
  • Adding its length, width, and height

Which unit is commonly used to express the volume of liquid?

  • Meter squared
  • Liter (correct)
  • Cubic centimeter
  • Kilogram

What instrument is typically used to measure the volume of a liquid?

<p>Graduated cylinder (A)</p> Signup and view all the answers

How should you read the volume measurement for clear liquids in a graduated cylinder?

<p>Read the lower meniscus (B)</p> Signup and view all the answers

In which units is the volume of a regular solid typically expressed?

<p>Cubic units like cubic meter or cubic cm (A)</p> Signup and view all the answers

What is the formula to calculate the volume of a regular solid with known length, width, and thickness?

<p>Volume = Length x Width x Thickness (C)</p> Signup and view all the answers

If a cube has an edge length of 5 cm, what is its volume?

<p>125 cm³ (B)</p> Signup and view all the answers

A cylindrical container has a radius of 3 cm and a height of 10 cm. What is its volume in milliliters?

<p>282.7 mL (B)</p> Signup and view all the answers

If a rectangular tank is 2 m long, 1.5 m wide and 1 m deep, what is its maximum capacity in liters?

<p>3000 L (B)</p> Signup and view all the answers

An irregular solid displaces 250 mL of water when submerged. What is its volume?

<p>250 mL (A)</p> Signup and view all the answers

A cube has a volume of 64 cm³. What is the length of one of its edges?

<p>4 cm (B)</p> Signup and view all the answers

If a solid object with a mass of 3.5 g has a volume of 2 cc, what is its density?

<p>$1.75$ g/cc (D)</p> Signup and view all the answers

An irregularly shaped object is immersed in 50 mL of water in a graduated cylinder, causing the water level to rise to 58 mL. What is the volume of the object?

<p>8 mL (B)</p> Signup and view all the answers

If an object with a density of 0.8 g/cc is placed in water, what will happen?

<p>It will float (C)</p> Signup and view all the answers

A solid cube with an edge length of 4 cm is immersed in a graduated cylinder containing 100 mL of water. If the new water level reads 124 mL, what is the density of the cube?

<p>$4$ g/cc (A)</p> Signup and view all the answers

A solid sphere with a radius of 3 cm is immersed in a graduated cylinder containing 200 mL of water. If the new water level reads 230 mL, what is the density of the sphere?

<p>$3.6$ g/cc (C)</p> Signup and view all the answers

If an object with a volume of 10 cc and a mass of 25 g is placed in a graduated cylinder containing 150 mL of water, what will be the new water level?

<p>160 mL (C)</p> Signup and view all the answers

Flashcards

Volume

The amount of space occupied by an object.

Volume of a regular solid

The product of its three dimensions: length, width, and thickness.

Unit of volume for liquid

Liter (L) or milliliter (mL).

Volume measurement instrument

A graduated cylinder is used to measure the volume of liquids.

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Reading volume of clear liquids

Reading the volume of clear liquids is done by reading the lower meniscus of the liquid.

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Unit of volume for regular solids

Volume of regular solids is usually expressed in cubic units like cubic meters (m³) or cubic centimeters (cm³).

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Calculating volume of regular solids

Volume = Length x Width x Thickness.

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Volume of a cube

The volume of a cube with an edge of 5 cm is 125 cm³. Find the volume using the formula: Volume = Length x Width x Thickness.

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Volume of a cylinder

282.7 mL. Use the formula for volume of a cylinder: πr²h where π is 3.14, r is the radius and h is the height. Convert cm³ to milliliters.

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Maximum capacity of a rectangular tank

3000 L. Use the formula for volume: Volume = Length x Width x Depth. Convert m³ to liters.

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Volume of an irregular solid

The volume of the irregular solid is 250 mL. This is because the volume displaces an equal amount of water.

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Edge length of a cube from volume

The length of one edge is 4 cm. Calculate the cube root of the volume.

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Density of a solid

The density is 1.75 g/cc. Calculate the density by dividing the mass by the volume.

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Volume of an object by displacement

The volume of the object is 8 mL. Subtract the initial reading from the final reading to find the volume difference.

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Floating or sinking

The object will float. If the density of an object is less than the density of water (1 g/cc), the object floats.

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Density of a cube by displacement

The density of the cube is 4 g/cc. Calculate the density by dividing the mass by the volume.

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Density of a sphere by displacement

The density of the sphere is 3.6 g/cc. Calculate the density by dividing the mass by the volume.

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Water level after adding object

The new water level will be 160 mL. The volume of the object added to the initial water level will give the final water level.

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Study Notes

Volume of a Regular Solid

  • Volume is the amount of space an object occupies.
  • Volume of a regular solid is obtained by multiplying its length, width, and thickness.
  • Volume is expressed in cubic units (e.g. cubic meter, cubic cm).

Volume of a Liquid

  • Liquid volume is measured in cubic meters or liters (L).
  • Graduated cylinder is used to measure the volume of a liquid.
  • When reading the measurement of a clear liquid, read the lower meniscus.
  • When reading the measurement of a colored liquid, read the upper meniscus.
  • 1 dm³ = 1 liter (L) and 1 cm³ = 1 milliliter (mL).

Volume of an Irregular Solid

  • An irregular solid is one where a dimension cannot be measured in a single straight line.
  • The displacement method is used to determine the volume of irregular solids.
  • The displacement method involves filling a container with water, putting the object in the container, and catching the overflow to get the volume of the overflow.

Density

  • Density is the mass of an object per unit volume.
  • Substances differ in their densities, and each substance has a specific density.
  • Density is calculated using the formula: D = Mass / Volume (g/cc).
  • Materials with a density less than 1 g/cc (density of water) will float on water, and those with a density greater than 1 g/cc will sink.

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